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Simplifying 15x + 45 + -2x = 15 + -1x + -10 Reorder the terms: 45 + 15x + -2x = 15 + -1x + -10 Combine like terms: 15x + -2x = 13x 45 + 13x = 15 + -1x + -10 Reorder the terms: 45 + 13x = 15 + -10 + -1x Combine like terms: 15 + -10 = 5 45 + 13x = 5 + -1x Solving 45 + 13x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 13x + x = 5 + -1x + x Combine like terms: 13x + x = 14x 45 + 14x = 5 + -1x + x Combine like terms: -1x + x = 0 45 + 14x = 5 + 0 45 + 14x = 5 Add '-45' to each side of the equation. 45 + -45 + 14x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + 14x = 5 + -45 14x = 5 + -45 Combine like terms: 5 + -45 = -40 14x = -40 Divide each side by '14'. x = -2.857142857 Simplifying x = -2.857142857
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